Tag Archives: El Shaddai

Secrets of Pi

This week’s conjoined Torah portions of Vayak’hel and Pekudei conclude the description of the Mishkan’s construction. The Haftarah for Pekudei is a passage from the seventh chapter of I Kings (the exact verses vary by community) describing King Solomon’s construction of the Jerusalem Temple. One of the most breathtaking structures standing in front of the Temple was the “Molten Sea”, a large bathtub for the kohanim to immerse in (as per Rashi and II Chronicles 4:6). The Tanakh describes that the bath was circular, sitting upon a base of twelve oxen statues, and had a total depth of five cubits, roughly ten feet. It held a volume of alpayim bat, “two thousand baths” of water (I Kings 7:26). In fact, the Hebrew bat (בת) is likely the etymology for the English word “bath”!

Illustration of the First Jerusalem Temple, or Solomon’s Temple, with the Molten Sea on the right.

What’s most perplexing in the description is that we are told the diameter of the circular tub was 10 cubits, yet its circumference was 30 cubits. Throughout history, many have pointed out that this seems to be an error! We all know that the ratio of a circle’s circumference to its diameter is π or Pi, which is 3.1415926 (and so on). So, the Tanakh should have said that the diameter was 10 cubits and the circumference was 31 or 31 and a half cubits. How do we solve this puzzle, and what deeper significance does Pi hold in the Torah?

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The Letter of Creation

The following is an excerpt from Garments of Light, Volume Two. Get the book here


Vayigash elav Yehudah, “And Judah approached him…” The Zohar begins its commentary on this week’s parasha by briefly citing a well-known Midrash about how the letters of the Hebrew alphabet approached God seeking to be the letter through which God creates the universe. The account is presented in full in an ancient text called Otiot d’Rabbi Akiva, and is also referenced to in multiple places, including the first chapters of Beresheet Rabbah and Yalkut Shimoni. The Zohar itself provides a detailed account in its first pages (I, 2b-3b):

…when the Holy One, blessed be He, desired to create the world, the letters of the alphabet appeared before Him (in reverse order). First came Tav and said: “Master of the Universe, may it be Your will that You create the universe with me, for I am Your seal of Truth [emet], and You are called Truth. It would therefore be fitting for the King to start His Creation with the letter of Truth.”

The Holy One, blessed be He, replied: “You are right and worthy, but I shall not create the universe with you, for you will be the mark upon the foreheads of the faithful, who fulfil the Torah from Aleph to Tav. With your mark, they shall die, for you are the seal of death [mavet].”

Being the last letter of the alphabet, Tav is the “seal” of God, and God’s seal is Truth. Tav argued it should be the letter of Creation—and the first letter of the Torah—because it represents Truth. God responded that Tav also represents death. The Talmud (Shabbat 55a) states that when a person is “marked” for death, the mark is a letter Tav on their forehead. And so, the universe cannot be created with a Tav. Next came the letter Shin: Continue reading

Mind-Blowing Gematriot

In this week’s parasha, Ha’azinu, Moses cautions the people in his final song to carefully fulfil “all the words of this Torah, for it is not an empty thing for you” (Deuteronomy 32:46-47). The Ba’al HaTurim (Rabbi Yakov ben Asher, 1269-1343) comments here that, on a deeper level, the words “for it is not an empty thing for you” are referring to gematriot, the numerical calculations and mathematical codes embedded in the Torah, that emanate from the divinity and precision of the Hebrew language. The general public often disparages gematria as being unreal or artificial in some way, a soup where anyone can find anything they are looking for. This couldn’t be further from the truth. While some have certainly abused gematria in unnatural ways, there is a legitimate foundation and system to it. Continue reading